Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods

The aim of the paper is to present and substantiate a technique to visualize DEA modelling results without any loss of mathematical rigour. The proposed family of parametric optimization methods allows one to construct an intersection of the multidimensional frontier with a two-dimensional plane determined by any pair of given directions. This approach reduces the efficiency analysis of production units to the investigation of well-known functions in economics. We also propose constructive methods to calculate marginal rates of substitution, marginal rates of transformation and so on.     

Self-Diffraction of Bessel Light Beams in a Nonlinear Medium

The phenomenon of self-diffraction of Bessel light beams (BLB) in a nonlinear liquid medium has been studied experimentally and theoretically for the first time. Diffraction maxima which do not correspond to integer orders for an induced periodic structure have been registered. It has been shown that the appearance of these maxima is due to the initial BLB modulation, which can be caused by the departure of the axicon refracting surface from the ideal conical surface, as well as by the imperfection of the form of the Gaussian beam incident on the axicon.     

Oxidation of pseudocumene in acetic acid

The oxidation of pseudocumene in the benzene nucleus can be effected in HOAc solution by using inorganic oxidizing agents containing oxygen, such as NaNO₃, hetero-polyacids, O₂, Na₂S₂O₈ and H₂O₂, with Pd(OAc)₂ as catalyst. Na₂S₂O₈ and H₂O₂ are the most effective, being also active in the absence of Pd(II).Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 9, pp. 2069–2073, September, 1989.The authors thank V. I. Zheivot, V. A. Bushmelev and K. F. Obzherinoi for their assistance in the investigation.     

A model for short alpha-neurotoxin bound to nicotinic acetylcholine receptor from Torpedo californica: comparison with long-chain alpha-neurotoxins and alpha-conotoxins

Short-chain alpha-neurotoxins from snakes are highly selective antagonists of the muscle-type nicotinic acetylcholine receptors (nAChR). Although their spatial structures are known and abundant information on topology of binding to nAChR is obtained by labeling and mutagenesis studies, the accurate structure of the complex is not yet known. Here, we present a model for a short alpha-neurotoxin, neurotoxin II from Naja oxiana (NTII), bound to Torpedo californica nAChR. It was built by comparative modeling, docking and molecular dynamics using 1H NMR structure of NTII, cross-linking and mutagenesis data, cryoelectron microscopy structure of Torpedo marmorata nAChR [Unwin, N., 2005. Refined structure of the nicotinic acetylcholine receptor at 4A resolution. J. Mol. Biol. 346, 967-989] and X-ray structures of acetylcholine-binding protein (AChBP) with agonists [Celie, P.H., van Rossum-Fikkert, S.E., van Dijk, W.J., Brejc, K., Smit, A.B., Sixma, T.K., 2004. Nicotine and carbamylcholine binding to nicotinic acetylcholine receptors as studied in AChBP crystal structures. Neuron 41 (6), 907-914] and antagonists: alpha-cobratoxin, a long-chain alpha-neurotoxin [Bourne, Y., Talley, T.T., Hansen, S.B., Taylor, P., Marchot, P., 2005. Crystal structure of Cbtx-AChBP complex reveals essential interactions between snake alpha-neurotoxins and nicotinic receptors. EMBO J. 24 (8), 1512-1522] and alpha-conotoxin [Celie, P.H., Kasheverov, I.E., Mordvintsev, D.Y., Hogg, R.C., van Nierop, P., van Elk, R., van Rossum-Fikkert, S.E., Zhmak, M.N., Bertrand, D., Tsetlin, V., Sixma, T.K., Smit, A.B., 2005. Crystal structure of nicotinic acetylcholine receptor homolog AChBP in complex with an alpha-conotoxin PnIA variant. Nat. Struct. Mol. Biol. 12 (7), 582-588]. In complex with the receptor, NTII was located at about 30 A from the membrane surface, the tip of its loop II plunges into the ligand-binding pocket between the alpha/gamma or alpha/delta nAChR subunits, while the loops I and III contact nAChR by their tips only in a 'surface-touch' manner. The toxin structure undergoes some changes during the final complex formation (for 1.45 rmsd in 15-25 ps according to AMBER'99 molecular dynamics simulation), which correlates with NMR data. The data on the mobility and accessibility of spin- and fluorescence labels in free and bound NTII were used in MD simulations. The binding process is dependent on spontaneous outward movement of the C-loop earlier found in the AChBP complexes with alpha-cobratoxin and alpha-conotoxin. Among common features in binding of short- and long alpha-neurotoxins is the rearrangement of aromatic residues in the binding pocket not observed for alpha-conotoxin binding. Being in general very similar, the binding modes of short- and long alpha-neurotoxins differ in the ways of loop II entry into nAChR.     

Structural elucidation of metabolites of ritonavir and indinavir by liquid chromatography-mass spectrometry

The structural elucidation of metabolites of ritonavir and indinavir, HIV-protease inhibitor drugs, by liquid chromatography-electrospray ionization mass spectrometry is described. Ritonavir and indinavir were biotransformed separately by incubation with transplant quality human liver microsomes. The incubation mixture was then analyzed by HPLC coupled to ion trap (ITMS) and triple quadrupole mass analyzers. The metabolites retained most of the structural features of the parent molecules. Baseline chromatographic resolution of isobaric species by gradient elution HPLC permitted rapid structural identification of these metabolites. Both drugs were biotransformed primarily by oxidative and hydrolytic pathways to numerous metabolites that retained many of the features of the parent molecules. Triple quadrupole and ion trap mass spectrometry were applied jointly to thoroughly detect and thoroughly characterize these metabolites. Furthermore, retention-time and data-dependent scanning assured acquisition of detailed MS-MS spectra for rapid detection of metabolic pathways of ritonavir and indinavir. Comparison of the ITMS and triple quadrupole data showed qualitative and quantitative differences in the mass spectral patterns, suggesting that these instruments should be used in parallel to ensure comprehensive metabolite detection and characterization by LC-MS.     

Electric current distribution in a thin metal layer for various specular reflection coefficients of its surfaces

The distribution of electric current in a thin metal layer has been calculated for various specular reflection coefficients of its surfaces. The dependence of the conductivity on the distance from the lower surface of the layer has been analyzed. The Boltzmann kinetic equation in the relaxation time approximation has been used.     

The design of a module of a new electromagnetic calorimeter for COMPASS II

A new-generation high-granularity Shashlyk EM calorimeter read out by micropixel avalanche photodiodes with thermostabilization based on the Peltier element is designed and constructed.